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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 473 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is (−5/6) + (−4/5)? (a) −49/30 (b) −1/30 (c) −9/11 (d) 49/30
  2. 2.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −9/15 (d) 3/5
  3. 3.Which is smaller: −2/3 or 3/4? (a) −2/3 (b) 3/4
  4. 4.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  5. 5.What is (−3/4) − (−4/7)? (a) −37/28 (b) 1/11 (c) −5/28 (d) 5/28
  6. 6.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −3/1 (d) −1/3
  7. 7.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  8. 8.What is (−5/6) − 4/9? (a) 23/18 (b) −7/18 (c) −23/18 (d) −3/5
  9. 9.Which is smaller: −5/8 or −1/2? (a) −5/8 (b) −1/2
  10. 10.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  11. 11.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) −2/18 (d) 1/9
  12. 12.What is the additive inverse of 5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  13. 13.What is 2/5 − (−1/5)? (a) −3/5 (b) 3/10 (c) 1/5 (d) 3/5
  14. 14.What is 1/3 − (−2/3)? (a) −1 (b) −1/3 (c) 1 (d) 1/2
  15. 15.What is (−2/3) + 1/3? (a) −1/3 (b) 1/3 (c) −1 (d) −1/6
  16. 16.Which is smaller: −3/5 or −2/3? (a) −2/3 (b) −3/5
  17. 17.Is 9/2 positive or negative? (a) Negative (b) Positive
  18. 18.What is (−1/5) + 4/7? (a) −13/35 (b) 13/35 (c) 1/4 (d) −27/35
  19. 19.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −30/54 (d) −5/9
  20. 20.Which is smaller: −1/9 or −2/7? (a) −2/7 (b) −1/9
  21. 21.What is (−2/5) + (−5/8)? (a) 9/40 (b) −7/13 (c) −41/40 (d) 41/40
  22. 22.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  23. 23.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −2/18 (c) 1/9 (d) −1/9
  24. 24.Which is smaller: −5/9 or −8/9? (a) −5/9 (b) −8/9
  25. 25.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −20/32 (c) −5/8 (d) −8/5
  26. 26.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −6/10 (d) −3/5
  27. 27.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  28. 28.What is (−2/9) − (−5/7)? (a) 31/63 (b) −59/63 (c) 3/16 (d) −31/63
  29. 29.Is −7/9 positive or negative? (a) Negative (b) Positive
  30. 30.Which is bigger: −1/6 or −5/9? (a) −5/9 (b) −1/6
  31. 31.What is (−1/9) + 2/7? (a) 1/16 (b) −25/63 (c) −11/63 (d) 11/63
  32. 32.What is (−4/9) + 7/9? (a) −11/9 (b) 1/3 (c) 1/6 (d) −1/3
  33. 33.Write −10/14 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −10/14 (c) −7/5 (d) −5/7
  34. 34.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −42/54 (d) 7/9
  35. 35.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −4/10 (c) 2/5 (d) −2/5
  36. 36.What is (−2/3) − 8/9? (a) 2/9 (b) −5/6 (c) −14/9 (d) 14/9
  37. 37.What is (−3/5) + (−1/2)? (a) −4/7 (b) −1/10 (c) −11/10 (d) 11/10
  38. 38.What is the additive inverse of 2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  39. 39.Is 1/9 positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3

Answer key

  1. −49/30
  2. −3/5
  3. −2/3
  4. Positive
  5. −5/28
  6. −1/3
  7. Negative
  8. −23/18
  9. −5/8
  10. Negative
  11. −1/9
  12. −5/6
  13. 3/5
  14. 1
  15. −1/3
  16. −2/3
  17. Positive
  18. 13/35
  19. −5/9
  20. −2/7
  21. −41/40
  22. Negative
  23. −1/9
  24. −8/9
  25. −5/8
  26. −3/5
  27. 7/2
  28. 31/63
  29. Negative
  30. −1/6
  31. 11/63
  32. 1/3
  33. −5/7
  34. −7/9
  35. −2/5
  36. −14/9
  37. −11/10
  38. −2/3
  39. Positive
  40. 3

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